The number 72490
72490 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 659. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 659, 1318, 3295, 6590, 7249, 14498, 36245, 72490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72490: a Harshad number: divisible by its digit sum 22.
- 2
72490 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 72490 itself that is 70070, so 72490 is deficient (70070 is less than 72490). Euler's totient φ(72490) = 26320 numbers up to 72490 share no factor with it.
- 4
The digits of 72490 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72490 = 2 \times 5 \times 11 \times 659 \]
72490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 26320 |
| Square | 5254800100 |
| Cube | 380920459249000 |
| Square root | 269.239670 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.249 × |
72490 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and ninety |
| Binary (base 2) | 10001101100101010 |
| Octal (base 8) | 215452 |
| Hexadecimal (base 16) | 11B2A |
| Base 3 | 10200102211 |
| As time | 72490 seconds = 20 h 8 min 10 s |
Is 72490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72490 ÷ 2 = 36245) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72490 ÷ 5 = 14498) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (72490 ÷ 10 = 7249) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (72490 ÷ 11 = 6590) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72490 a prime number?
No. 72490 = 2 × 5 × 11 × 659, so it is divisible by 2.
What are the factors of 72490?
1, 2, 5, 10, 11, 22, 55, 110, 659, 1318, 3295, 6590, 7249, 14498, 36245, 72490.
What is 72490 in binary?
10001101100101010 (hexadecimal 11B2A, octal 215452).
What is the square root of 72490?
About 269.2397.
Is 72490 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72490?
72490 is a Harshad number: divisible by its digit sum 22.